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Finding the Fourth Proportional to 1,247.82, 1,720.44 and 952.62

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Solution

The fourth proportional to 1,247.82, 1,720.44 and 952.62 is: 1,313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.82 : 1,720.44 = 952.62 : x
  2. Step 2: Convert to fraction form
    1,247.82/1,720.44 = 952.62/x
  3. Step 3: Cross multiply
    1,247.82x = 1,720.44 × 952.62
  4. Step 4: Simplify right side
    1,247.82x = 1,638,925.55
  5. Step 5: Solve for x
    x = 1,638,925.55/1,247.82
  6. Step 6: Final answer
    x = 1,313.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.